Given numbers are 342,269,723,892

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 342,269,723,892 is 9888497028.

Find LCM of 342,269,723,892 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 57 x 269 x 241 x 446 = 9888497028

Therefore, the lowest common multiple of 342,269,723,892 is 9888497028.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

342 x 269 x 723 x 892 = 59330982168

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

269 : 1, 269

723 : 1, 3, 241, 723

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,269,723,892, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

269:269

723:3x 241

892:2x 2x 223

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 59330982168/(1x6)

LCM = 59330982168/6

LCM = 9888497028

Thus, we can understand that the LCM of 342,269,723,892 is 9888497028.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 574, 233, 422, 574
• LCM of 491, 185, 458, 428
• LCM of 563, 459, 415, 629
• LCM of 468, 598, 994, 696
• LCM of 462, 569, 559, 942

1. What is the LCM of 342, 269, 723, 892?

Answer: LCM of 342, 269, 723, 892 is 9888497028.

2. How to calculate the LCM of 342, 269, 723, 892?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 342, 269, 723, 892.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.